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Since the discovery of the Higgs boson, concepts of spontaneous symmetry breaking in gravity have come again into focus, and, in this revised edition, these will be exposed in geometric terms. Quantizing gravity remains an open issue: formulating it as a de Sitter type gauge theory in the spirit of Yang-Mills, some new progress in its topological form is presented. After symmetry breaking, Einstein¿s standard general relativity with cosmological constant emerges as a classical background. The geometrical structure of BRST quantization with non-propagating topological ghosts is developed in some detail.
Since the discovery of the Higgs boson, concepts of spontaneous symmetry breaking in gravity have come again into focus, and, in this revised edition, these will be exposed in geometric terms. Quantizing gravity remains an open issue: formulating it as a de Sitter type gauge theory in the spirit of Yang-Mills, some new progress in its topological form is presented. After symmetry breaking, Einstein¿s standard general relativity with cosmological constant emerges as a classical background. The geometrical structure of BRST quantization with non-propagating topological ghosts is developed in some detail.
He is the author of the Springer book "Sonne, Mond und .... Schwarze Locher" (1997) (Sun, Moon and...Black Holes), a popular book offering a short trip through recent developments in astronomy.
A comprehensive revision of a classic text relating geometic field theory to modern physics
Offers an up-to-date overview of geometrodynamics including minimal topological models
Contains new chapters on teleparalelism, Chern-Simons-induced topological 3D gravity and supergravity, quantization via topological ghosts, constrained BF model with SL (5, R) gauge group, and chiral and trace anomalies
Provides a detailed exposition of frame bundles in gravity
Includes supplementary material: [...]
Preface.- 1 Historical background.- 2 Geometry of gauge fields.- 3 Maxwell and Yang-Mills theory.- 4 Gravitation as a gauge theory.- 5 Einstein-Cartan theory.- 6 Teleparallelism.- 7 Yang's theory of gravity.- 8 BRST quantization of gravity.- 9 Gravitational instantons.- 10 Three-dimensional gravity.- 11 Spinor bundles.- 12 Chiral anomalies.- 13 Topological SL(5;R) gauge invariant action.- 14 Geometrodynamics and its extensions.- 15 Color Geometrodynamics.- 16 Geometrodynamical model of quark confinement?- Appendix A Notation and mathematical terms.- Appendix B Calculus of exterior forms.- Appendix C Lie groups.
| Erscheinungsjahr: | 2017 |
|---|---|
| Fachbereich: | Theoretische Physik |
| Genre: | Physik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Seiten: | 392 |
| Reihe: | Mathematical Physics Studies |
| Inhalt: |
xvii
373 S. 10 s/w Illustr. 8 farbige Illustr. 373 p. 18 illus. 8 illus. in color. |
| ISBN-13: | 9783319297323 |
| ISBN-10: | 3319297325 |
| Sprache: | Englisch |
| Herstellernummer: | 978-3-319-29732-3 |
| Ausstattung / Beilage: | HC runder Rücken kaschiert |
| Einband: | Gebunden |
| Autor: | Mielke, Eckehard W. |
| Auflage: | 2nd ed. 2017 |
| Hersteller: |
Springer International Publishing
Springer International Publishing AG Mathematical Physics Studies |
| Maße: | 241 x 160 x 26 mm |
| Von/Mit: | Eckehard W. Mielke |
| Erscheinungsdatum: | 09.02.2017 |
| Gewicht: | 0,823 kg |
He is the author of the Springer book "Sonne, Mond und .... Schwarze Locher" (1997) (Sun, Moon and...Black Holes), a popular book offering a short trip through recent developments in astronomy.
A comprehensive revision of a classic text relating geometic field theory to modern physics
Offers an up-to-date overview of geometrodynamics including minimal topological models
Contains new chapters on teleparalelism, Chern-Simons-induced topological 3D gravity and supergravity, quantization via topological ghosts, constrained BF model with SL (5, R) gauge group, and chiral and trace anomalies
Provides a detailed exposition of frame bundles in gravity
Includes supplementary material: [...]
Preface.- 1 Historical background.- 2 Geometry of gauge fields.- 3 Maxwell and Yang-Mills theory.- 4 Gravitation as a gauge theory.- 5 Einstein-Cartan theory.- 6 Teleparallelism.- 7 Yang's theory of gravity.- 8 BRST quantization of gravity.- 9 Gravitational instantons.- 10 Three-dimensional gravity.- 11 Spinor bundles.- 12 Chiral anomalies.- 13 Topological SL(5;R) gauge invariant action.- 14 Geometrodynamics and its extensions.- 15 Color Geometrodynamics.- 16 Geometrodynamical model of quark confinement?- Appendix A Notation and mathematical terms.- Appendix B Calculus of exterior forms.- Appendix C Lie groups.
| Erscheinungsjahr: | 2017 |
|---|---|
| Fachbereich: | Theoretische Physik |
| Genre: | Physik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Seiten: | 392 |
| Reihe: | Mathematical Physics Studies |
| Inhalt: |
xvii
373 S. 10 s/w Illustr. 8 farbige Illustr. 373 p. 18 illus. 8 illus. in color. |
| ISBN-13: | 9783319297323 |
| ISBN-10: | 3319297325 |
| Sprache: | Englisch |
| Herstellernummer: | 978-3-319-29732-3 |
| Ausstattung / Beilage: | HC runder Rücken kaschiert |
| Einband: | Gebunden |
| Autor: | Mielke, Eckehard W. |
| Auflage: | 2nd ed. 2017 |
| Hersteller: |
Springer International Publishing
Springer International Publishing AG Mathematical Physics Studies |
| Maße: | 241 x 160 x 26 mm |
| Von/Mit: | Eckehard W. Mielke |
| Erscheinungsdatum: | 09.02.2017 |
| Gewicht: | 0,823 kg |
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